The expression 3x² - 33x - 180 can be factored into the form a(x + b)(x + c), where a, b, and c are constants, to reveal the zeros of the function defined by the expression. What are the zeros of the function defined by 3x² - 33x - 180?

Select

A.) -15

B.) -10

C.) -6

D.) -4

E.) 4

F.) 6

G.) 10

H.) 15

Select

**all**that apply.A.) -15

B.) -10

C.) -6

D.) -4

E.) 4

F.) 6

G.) 10

H.) 15

To find the zeros, set the expression equal to zero and solve for x.

3x² - 33x - 180 = 0 {set the expression equal to zero}

3(x² - 11x - 60) = 0 {factored out the greatest common factor, 3}

3(x - 15)(x + 4) = 0 {factored into two binomials}

(x - 15)(x + 4) = 0 {divided each side by 3}

x - 15 = 0 or x + 4 = 0 {set each factor equal to 0}

x = 15 or x = -4 {solved each equation for x}

Zeros are the x-intercepts. Where the parabola crosses the x-axis, because the value of y is zero in the function f(x) = 3x² - 33x - 180.

3x² - 33x - 180 = 0 {set the expression equal to zero}

3(x² - 11x - 60) = 0 {factored out the greatest common factor, 3}

3(x - 15)(x + 4) = 0 {factored into two binomials}

(x - 15)(x + 4) = 0 {divided each side by 3}

x - 15 = 0 or x + 4 = 0 {set each factor equal to 0}

x = 15 or x = -4 {solved each equation for x}

**D.) -4**and**H.) 15**Zeros are the x-intercepts. Where the parabola crosses the x-axis, because the value of y is zero in the function f(x) = 3x² - 33x - 180.